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Finding the Fourth Proportional to 25,509,214,097.10, 38,194,946,392.05 and 25,509,214,097.10

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Solution

The fourth proportional to 25,509,214,097.10, 38,194,946,392.05 and 25,509,214,097.10 is: 38,194,946,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509,214,097.10 : 38,194,946,392.05 = 25,509,214,097.10 : x
  2. Step 2: Convert to fraction form
    25,509,214,097.10/38,194,946,392.05 = 25,509,214,097.10/x
  3. Step 3: Cross multiply
    25,509,214,097.10x = 38,194,946,392.05 × 25,509,214,097.10
  4. Step 4: Simplify right side
    25,509,214,097.10x = 974,323,064,942,060,634,112
  5. Step 5: Solve for x
    x = 974,323,064,942,060,634,112/25,509,214,097.10
  6. Step 6: Final answer
    x = 38,194,946,392.05

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.